What is the limit as x approaches 0 of (2x+3)/(2x-1) ?

The limit as x approaches 0 of (2x+3)/(2x-1) is -3

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limit as x approaches 0 of (2x+3)/(2x-1)

x \to 0 lim (\frac{2 x + 3}{2 x - 1})

- 3

Solution steps

x \to 0 lim (\frac{2 x + 3}{2 x - 1})

Plug in the value

x = 0

= \frac{2 \cdot 0 + 3}{2 \cdot 0 - 1}

Simplify

\frac{2 \cdot 0 + 3}{2 \cdot 0 - 1} : - 3

= - 3

x \to 3 lim (5 - 2 x)

x \to 4 lim (3 - 5 + x)

y \to 0 lim (cot (y) - csc (y))

x \to 2 lim (2^{x})

x \to 0 lim (\frac{2 sin ( 4 x )}{x})

What is the limit as x approaches 0 of (2x+3)/(2x-1) ?
The limit as x approaches 0 of (2x+3)/(2x-1) is -3